The word convertíamos is the imperfect form of convertir in the first person plural.
See the full convertir conjugation

convertir

Nos convertíamos en testigos de la Belleza que salva.
We were becoming the witnesses of the Beauty that saves.
Tarde o temprano, nos convertíamos en lo que Tyler quería.
Sooner or later, we all became what Tyler wanted us to be.
Tarde o temprano, todos nos convertíamos en lo que Tyler quería.
Sooner or later, we all became what Tyler wanted us to be.
Si no estuviera él, si no hubiera vallas, ¡nosotros nos convertíamos en su almuerzo y cena! (Risas) ¡Eso sucede a veces! Mas estando el maestro de ceremonias, los animales son muy disciplinados.
If the ringmaster is not there, if the fence is not there, we become their lunch and dinner! (Laughter) That sometimes happens! But the ringmaster is there, so the animals are highly disciplined.
La premisa establecida en Lisboa era que solo podríamos sobrevivir a la competencia intercontinental y seguir compitiendo con rivales en otros continentes a largo plazo si nos convertíamos en la economía nacional y la sociedad basada en el conocimiento más fuerte del mundo, pero a escala europea.
The starting point used in Lisbon was that we would only be able to survive intercontinental competition and continue to compete with competitors on other continents over the long term if we become the strongest knowledge-based society and national economy in the world – but at European level.
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